Question

Given that f(x) = x2 − 3x + 3 and g(x) = , solve for f(g(x)) when x = 5. −3 1 7 13

Answer 1

$f(x) = x^{2} - 3x + 3 \\ g(x) = \frac{x - 1}{4} \\ g(5) = \frac{(5) - 1}{4} = 1 \\ f(1) = (1)^{2} - 3(1) + 3 = 1 \\ Therfore, f(g(5)) = 1$